Question

1. what is the exponent? $8^{3}$ =2. what is the base? $8^{3}$ =3. evaluate. $4^{0}$ =4. evaluate $5^{2}-5^{1}-5^{0}$ =5. evaluate $2^{2}+2^{0}$=6. evaluate $2^{4}$ =7. evaluate $9^{0}$ =8. evaluate $3^{3}-3^{2}$ =9. what is the base? $11^{5}$10. what is the exponent $11^{5}$11. evaluate $6^{2}-2^{5}$ =12. evaluate $3(4^{0})$ =13. evaluate $n^{0}$ =14. evaluate $6^{2}÷2$ =15. evaluate $9^{2}+9^{0}+8^{0}-8^{2}$ =

Explanation:

Step1: Identify exponent in $8^3$

The exponent is the raised number.

Step2: Identify base in $8^3$

The base is the number being raised.

Step3: Evaluate $4^0$

Any non-zero number to 0 power is 1: $4^0=1$

Step4: Evaluate $5^2 - 5^1 - 5^0$

Calculate each term: $5^2=25$, $5^1=5$, $5^0=1$; $25-5-1=19$

Step5: Evaluate $2^2 + 2^0$

Calculate each term: $2^2=4$, $2^0=1$; $4+1=5$

Step6: Evaluate $2^4$

$2^4=2\times2\times2\times2=16$

Step7: Evaluate $9^0$

Any non-zero number to 0 power is 1: $9^0=1$

Step8: Evaluate $3^3 - 3^2$

Calculate each term: $3^3=27$, $3^2=9$; $27-9=18$

Step9: Identify base in $11^5$

The base is the number being raised.

Step10: Identify exponent in $11^5$

The exponent is the raised number.

Step11: Evaluate $6^2 - 2^5$

Calculate each term: $6^2=36$, $2^5=32$; $36-32=4$

Step12: Evaluate $3(4^0)$

First $4^0=1$, then $3\times1=3$

Step13: Evaluate $n^0$

Any non-zero $n$ to 0 power is 1: $n^0=1$ (for $n
eq0$)

Step14: Evaluate $6^2 \div 2$

First $6^2=36$, then $\frac{36}{2}=18$

Step15: Evaluate $9^2 + 9^0 + 8^0 - 8^2$

Calculate each term: $9^2=81$, $9^0=1$, $8^0=1$, $8^2=64$; $81+1+1-64=19$

Answer:

1. 3
2. 8
3. 1
4. 19
5. 5
6. 16
7. 1
8. 18
9. 11
10. 5
11. 4
12. 3
13. 1 (for $n

eq0$)

1. 18
2. 19